161222181120 has 2592 divisors, whose sum is σ = 797966088192. Its totient is φ = 29196288000.

The previous prime is 161222181103. The next prime is 161222181149. The reversal of 161222181120 is 21181222161.

161222181120 is a `hidden beast` number, since 1 + 612 + 2 + 2 + 18 + 11 + 20 = 666.

161222181120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3932248300 + ... + 3932248340.

Almost surely, 2^161222181120 is an apocalyptic number.

161222181120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161222181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398983044096).

161222181120 is an abundant number, since it is smaller than the sum of its proper divisors (636743907072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

161222181120 is a wasteful number, since it uses less digits than its factorization.

161222181120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 161222181120 in words is "one hundred sixty-one billion, two hundred twenty-two million, one hundred eighty-one thousand, one hundred twenty".